Q. A rectangular beam which is 300 mm deep is simply supported over span of 5 m. What uniformly distributed load per meter beam may carry? If bending stress is not to exceed 130N/mm2. Take I = 8.5 × 106 mm4

Sol.: Given:

σ = 130 N/mm2

I = 8.5 × 106 mm4

y = d/2 = 300/2 = 150mm

L = 5m = 5000mm

Let UDL = W N/m Maximum bending moment for simply supported beam with UDL on the entire span can be given by